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Finding the Fourth Proportional to 228,915.90, 343,423.06 and 77,128.06

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Solution

The fourth proportional to 228,915.90, 343,423.06 and 77,128.06 is: 115,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,915.90 : 343,423.06 = 77,128.06 : x
  2. Step 2: Convert to fraction form
    228,915.90/343,423.06 = 77,128.06/x
  3. Step 3: Cross multiply
    228,915.90x = 343,423.06 × 77,128.06
  4. Step 4: Simplify right side
    228,915.90x = 26,487,553,684.94
  5. Step 5: Solve for x
    x = 26,487,553,684.94/228,915.90
  6. Step 6: Final answer
    x = 115,708.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.